On the small time asymptotics of the dynamical $Φ^4_1$ model

Bingguang Chen, Xiangchan Zhu

Published 2019-10-08Version 1

In this paper, we establish a small time large deviation principle (small time asymptotics) for the dynamical $\Phi^4_1$ model, which not only involves study of the space-time white noise with intensity $\sqrt{\varepsilon}$, but also the investigation of the effect of the small (with $\varepsilon$) nonlinear drift.